Now showing items 1-17 of 17

    • Breakdown of a 2D heteroclinic connection in the hopf-zero singularity (I) 

      Baldomá Barraca, Inmaculada; Castejón Company, Oriol; Martínez-Seara Alonso, M. Teresa (2018-10-01)
      Article
      Open Access
      In this paper we study a beyond all orders phenomenon which appears in the analytic unfoldings of the Hopf-zero singularity. It consists in the breakdown of a two-dimensional heteroclinic surface which exists in the truncated ...
    • Breakdown of a 2D heteroclinic connection in the Hopf-zero singularity (II): The generic case 

      Baldomá Barraca, Inmaculada; Castejón Company, Oriol; Martínez-Seara Alonso, M. Teresa (2018-04-17)
      Article
      Open Access
      In this paper, we prove the breakdown of the two-dimensional stable and unstable manifolds associated to two saddle-focus points which appear in the unfoldings of the Hopf-zero singularity. The method consists in obtaining ...
    • Breakdown of heteroclinic orbits for analytic unfoldings of the hopf-zero singularity. The singular case 

      Baldomá Barraca, Inmaculada; Castejón i Company, Oriol; Martínez-Seara Alonso, M. Teresa (2011)
      External research report
      Open Access
      In this paper we prove the breakdown of an heteroclinic connection in the analytic versal unfoldings of the generic Hopf-Zero singularity. This heteroclinic orbit appears at any order if one performs the normal form around ...
    • Breakdown of heteroclinic orbits for some analytic unfoldings of the Hopf-zero singularity 

      Baldomá Barraca, Inmaculada; Martínez-Seara Alonso, M. Teresa (2004)
      Article
      Open Access
      In this paper we study the exponentially small splitting of a heteroclinic orbit in some unfoldings of the central singularity also called Hopf-zero singularity. The fields under consideration are of the form: dx dτ = ...
    • EQUACIONS DIFERENCIALS ORDINÀRIES 

      Baldomá Barraca, Inmaculada (Universitat Politècnica de Catalunya, 2017-11-03)
      Exam
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    • EQUACIONS DIFERENCIALS ORDINÀRIES 

      Baldomá Barraca, Inmaculada (Universitat Politècnica de Catalunya, 2018-01-18)
      Exam
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    • EQUACIONS DIFERENCIALS ORDINÀRIES | ( Examen final ) 

      Baldomá Barraca, Inmaculada (Universitat Politècnica de Catalunya, 2019-01-10)
      Exam
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    • EQUACIONS DIFERENCIALS ORDINÀRIES | ( Examen parcial ) 

      Baldomá Barraca, Inmaculada (Universitat Politècnica de Catalunya, 2018-11-09)
      Exam
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    • EQUACIONS DIFERENCIALS ORDINÀRIES | EXTRAORDINARI 

      Baldomá Barraca, Inmaculada (Universitat Politècnica de Catalunya, 2020-07-10)
      Exam
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    • EQUACIONS DIFERENCIALS ORDINÀRIES | Final 

      Baldomá Barraca, Inmaculada (Universitat Politècnica de Catalunya, 2020-01-16)
      Exam
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    • EQUACIONS DIFERENCIALS ORDINÀRIES | Parcial 

      Baldomá Barraca, Inmaculada (Universitat Politècnica de Catalunya, 2019-10-28)
      Exam
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    • Exponentially Small Heteroclinic Breakdown in the Generic Hopf-Zero Singularity 

      Baldomá Barraca, Inmaculada; Castejón i Company, Oriol; Martínez-Seara Alonso, M. Teresa (2013)
      Article
      Restricted access - publisher's policy
      In this paper we prove the breakdown of a heteroclinic connection in the analytic versal unfoldings of the generic Hopf-zero singularity in an open set of the parameter space. This heteroclinic orbit appears at any order ...
    • Exponentially small splitting of separatrices beyond Melnikov analysis: rigorous results 

      Baldomá Barraca, Inmaculada; Fontich, Ernest; Guàrdia Munarriz, Marcel; Martínez-Seara Alonso, M. Teresa (2011)
      External research report
      Open Access
      In this paper we study the problem of exponentially small splitting of separatrices of one degree of freedom classical Hamiltonian systems with a non-autonomous perturbation which is fast and periodic in time. We provide ...
    • Gevrey estimates for one dimensional parabolic invariant manifolds of non-hyperbolic fixed points 

      Baldomá Barraca, Inmaculada; Fontich, Ernest; Martín, Pau (2017-08-01)
      Article
      Open Access
      We study the Gevrey character of a natural parameterization of one dimensional invariant manifolds associated to a parabolic direction of fixed points of analytic maps, that is, a direction associated with an eigenvalue ...
    • Hopf-Zero singularities truly unfold chaos 

      Baldomá Barraca, Inmaculada; Ibáñez Mesa, Santiago; Martínez-Seara Alonso, M. Teresa (2020-05-01)
      Article
      Restricted access - publisher's policy
      We provide conditions to guarantee the occurrence of Shilnikov bifurcations in analytic unfoldings of some Hopf-Zero singularities through a beyond all order phenomenon: the exponentially small breakdown of invariant ...
    • On the asymptotic wavenumber of spiral waves in lambda - omega systems 

      Aguareles Carrero, María; Baldomá Barraca, Inmaculada; Martínez-Seara Alonso, M. Teresa (2016-01-01)
      Article
      Open Access
      In this paper we consider spiral wave solutions of a general class of $\lambda -\omega $ systems with a small twist parameter q and we prove that the asymptotic wavenumber of the spirals is a ${{\mathcal{C}}^{\infty}}$ ...
    • Whiskered parabolic tori in the planar (n+ 1) -body problem 

      Baldomá Barraca, Inmaculada; Fontich Julia, Ernest; Martín de la Torre, Pablo (2019-01-01)
      Article
      Open Access
      The planar (n+1)-body problem models the motion of n+1 bodies in the plane under their mutual Newtonian gravitational attraction forces. When n=3, the question about final motions, that is, what are the possible limit ...